Lesson 5-5: Radicals After this lesson, TSWBAT Simplify simple radicals by hand and by calculator Square Roots To understand square roots, you must first understand where they come from. 3 squared is 9, so a square root of 9 is 3 A square root of a number is ... ... a value that can be multiplied by itself to give the original number. ... 3, because when 3 is multiplied by itself you get 9. A square root of 9 is ... What can I multiply by itself to get this? It is like asking: So, let’s take a look: Example 1 √𝟗 = Your Turn! Find the square root of the following numbers. Complete them like the one shown. 25 196 484 24025 1 Square Roots With Letters (Oh my!) Finding square roots with letters works the same way as finding square roots with numbers. Use the same process. Let’s do one together: Example 2 Your Turn Find the square root of the following numbers. Complete them like the one shown. Roots Other Than Square Roots Finding roots other than square roots works the same way as finding square roots. Use the same process. Let’s do two together: Example 3 Example 4 “cubed roots” 2 Your Turn! Match the roots to their equivalent answers. ______1. a. 12 ______2. b. m4n2 ______3. c. -12m4n3 ______4. d. 3x5 ______5. e. 2 ______6. f. 8x3 Practice 3 Finding Roots With A Calculator Some radicals have roots that aren’t whole numbers. When that’s the case, a calculator must be used to approximate an answer. Example 5 Example 6 Example 7 Practice 4 More Practice 5